In the given circuit, the values of currents $I_1$, $I_2$ and $I_3$ respectively are:

To measure the temperature coefficient of resistivity $\alpha$ of a semiconductor,an electrical arrangement shown in the figure is prepared. The arm $BC$ is made up of the semiconductor. The experiment is being conducted at $25^{\circ} C$ and the resistance of the semiconductor arm $BC$ is $3 \ m\Omega$. Arm $BC$ is cooled at a constant rate of $2^{\circ} C / s$. If the galvanometer $G$ shows no deflection after $10 \ s$,then $\alpha$ is:

Refer to the circuit diagram given below. The heat generated across the $6\text{ }\Omega$ resistance in $100\text{ s}$ is $\frac{\alpha}{100}\text{ J}$. The value of $\alpha$ is . . . . . . . (Nearest integer)

$A$ Wheatstone bridge is balanced. Find the ratio of electric power dissipated in $(P + Q)$ to $(R + S)$.

In the case of a Wheatstone bridge,the balanced condition is.....

In the given circuit,it is observed that the current $I$ is independent of the value of the resistance $R_6$. Then the resistance values must satisfy